Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 36 yd square yards

Explanation:

Step1: Find the radius

The diameter is 36 yards, so the radius $r=\frac{36}{2}=18$ yards.

Step2: Use the surface - area formula

The formula for the surface area of a sphere is $A = 4\pi r^{2}$. Substitute $r = 18$ into the formula: $A=4\pi\times(18)^{2}$.

Step3: Calculate the result

First, $(18)^{2}=324$. Then $4\pi\times324 = 1296\pi$. Using $\pi\approx3.14159$, $A\approx1296\times3.14159 = 4071.50464$.

Step4: Round the answer

Rounding 4071.50464 to the nearest hundredth gives 4071.50.

Answer:

4071.50